Abstract

Direct production of laser output pulses with arbitrary shapes can be extended to the high-frequency domain by use of optimal driving of the pump power. Genetic algorithms allow us to design the optimal time evolutions of the pump power to counteract the detrimental effect of relaxation oscillations. The method is demonstrated on a Nd3+:YVO4 laser and allows us to produce, e.g., triangular pulses at rates 20 times faster than for proportional modulation.

© 2004 Optical Society of America

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  1. G. L. Lippi, P. A. Porta, L. M. Hoffer, and H. Grassi, Phys. Rev. E 59, R32 (1999).
    [CrossRef]
  2. G. L. Lippi, S. Barland, and F. Monsieur, Phys. Rev. Lett. 85, 62 (2000).
    [CrossRef] [PubMed]
  3. B. Ségard, S. Maton, and P. Glorieux, Phys. Rev. A 66, 053819 (2002).
    [CrossRef]
  4. R. S. Judson and H. Rabitz, Phys. Rev. Lett. 68, 1500 (1992).
    [CrossRef] [PubMed]
  5. H. Rabitz, R. deVivie-Riedle, M. Motzkus, and K.-L. Kompa, Science 288, 824 (2000).
    [CrossRef] [PubMed]
  6. C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997).
  7. A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
    [CrossRef] [PubMed]
  8. R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
    [CrossRef] [PubMed]
  9. I. P. Christov, R. Bartels, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 86, 5458 (2001).
    [CrossRef] [PubMed]
  10. L. Roos, M. B. Guarde, and A. L’Huillier, J. Phys. B 34, 5041 (2001).
    [CrossRef]
  11. T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, Appl. Phys. B 65, 779 (1997).
    [CrossRef]
  12. Ya. I. Khanin, Principles of Laser Dynamics (Elsevier, Amsterdam, 1995).
  13. A. W. Tucker, M. Birnbaum, C. L. Fincher, and J. W. Erler, J. Appl. Phys. 48, 4907 (1977).
    [CrossRef]
  14. A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
    [CrossRef]

2002 (1)

B. Ségard, S. Maton, and P. Glorieux, Phys. Rev. A 66, 053819 (2002).
[CrossRef]

2001 (2)

I. P. Christov, R. Bartels, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 86, 5458 (2001).
[CrossRef] [PubMed]

L. Roos, M. B. Guarde, and A. L’Huillier, J. Phys. B 34, 5041 (2001).
[CrossRef]

2000 (3)

G. L. Lippi, S. Barland, and F. Monsieur, Phys. Rev. Lett. 85, 62 (2000).
[CrossRef] [PubMed]

H. Rabitz, R. deVivie-Riedle, M. Motzkus, and K.-L. Kompa, Science 288, 824 (2000).
[CrossRef] [PubMed]

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

1999 (2)

G. L. Lippi, P. A. Porta, L. M. Hoffer, and H. Grassi, Phys. Rev. E 59, R32 (1999).
[CrossRef]

A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
[CrossRef]

1998 (1)

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

1997 (2)

C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997).

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, Appl. Phys. B 65, 779 (1997).
[CrossRef]

1992 (1)

R. S. Judson and H. Rabitz, Phys. Rev. Lett. 68, 1500 (1992).
[CrossRef] [PubMed]

1977 (1)

A. W. Tucker, M. Birnbaum, C. L. Fincher, and J. W. Erler, J. Appl. Phys. 48, 4907 (1977).
[CrossRef]

Assion, A.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

Aubert, J. J.

A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
[CrossRef]

Bachus, S.

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

Bardeen, C. J.

C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997).

Barland, S.

G. L. Lippi, S. Barland, and F. Monsieur, Phys. Rev. Lett. 85, 62 (2000).
[CrossRef] [PubMed]

Bartels, R.

I. P. Christov, R. Bartels, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 86, 5458 (2001).
[CrossRef] [PubMed]

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

Baumert, T.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, Appl. Phys. B 65, 779 (1997).
[CrossRef]

Bergt, M.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

Birnbaum, M.

A. W. Tucker, M. Birnbaum, C. L. Fincher, and J. W. Erler, J. Appl. Phys. 48, 4907 (1977).
[CrossRef]

Bramati, A.

A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
[CrossRef]

Brixner, T.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, Appl. Phys. B 65, 779 (1997).
[CrossRef]

Carpenter, S. D.

C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997).

Christov, I. P.

I. P. Christov, R. Bartels, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 86, 5458 (2001).
[CrossRef] [PubMed]

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

deVivie-Riedle, R.

H. Rabitz, R. deVivie-Riedle, M. Motzkus, and K.-L. Kompa, Science 288, 824 (2000).
[CrossRef] [PubMed]

Erler, J. W.

A. W. Tucker, M. Birnbaum, C. L. Fincher, and J. W. Erler, J. Appl. Phys. 48, 4907 (1977).
[CrossRef]

Fincher, C. L.

A. W. Tucker, M. Birnbaum, C. L. Fincher, and J. W. Erler, J. Appl. Phys. 48, 4907 (1977).
[CrossRef]

Fulbert, L.

A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
[CrossRef]

Gerber, G.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, Appl. Phys. B 65, 779 (1997).
[CrossRef]

Giacobino, E.

A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
[CrossRef]

Glorieux, P.

B. Ségard, S. Maton, and P. Glorieux, Phys. Rev. A 66, 053819 (2002).
[CrossRef]

Grassi, H.

G. L. Lippi, P. A. Porta, L. M. Hoffer, and H. Grassi, Phys. Rev. E 59, R32 (1999).
[CrossRef]

Guarde, M. B.

L. Roos, M. B. Guarde, and A. L’Huillier, J. Phys. B 34, 5041 (2001).
[CrossRef]

Hermier, J. P.

A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
[CrossRef]

Hoffer, L. M.

G. L. Lippi, P. A. Porta, L. M. Hoffer, and H. Grassi, Phys. Rev. E 59, R32 (1999).
[CrossRef]

Jost, V.

A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
[CrossRef]

Judson, R. S.

R. S. Judson and H. Rabitz, Phys. Rev. Lett. 68, 1500 (1992).
[CrossRef] [PubMed]

Kapteyn, H. C.

I. P. Christov, R. Bartels, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 86, 5458 (2001).
[CrossRef] [PubMed]

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

Khanin, Ya. I.

Ya. I. Khanin, Principles of Laser Dynamics (Elsevier, Amsterdam, 1995).

Kiefer, B.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

Kompa, K.-L.

H. Rabitz, R. deVivie-Riedle, M. Motzkus, and K.-L. Kompa, Science 288, 824 (2000).
[CrossRef] [PubMed]

L’Huillier, A.

L. Roos, M. B. Guarde, and A. L’Huillier, J. Phys. B 34, 5041 (2001).
[CrossRef]

Lippi, G. L.

G. L. Lippi, S. Barland, and F. Monsieur, Phys. Rev. Lett. 85, 62 (2000).
[CrossRef] [PubMed]

G. L. Lippi, P. A. Porta, L. M. Hoffer, and H. Grassi, Phys. Rev. E 59, R32 (1999).
[CrossRef]

Maton, S.

B. Ségard, S. Maton, and P. Glorieux, Phys. Rev. A 66, 053819 (2002).
[CrossRef]

Misoguti, L.

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

Molva, E.

A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
[CrossRef]

Monsieur, F.

G. L. Lippi, S. Barland, and F. Monsieur, Phys. Rev. Lett. 85, 62 (2000).
[CrossRef] [PubMed]

Motzkus, M.

H. Rabitz, R. deVivie-Riedle, M. Motzkus, and K.-L. Kompa, Science 288, 824 (2000).
[CrossRef] [PubMed]

Murnane, M. M.

I. P. Christov, R. Bartels, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 86, 5458 (2001).
[CrossRef] [PubMed]

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

Porta, P. A.

G. L. Lippi, P. A. Porta, L. M. Hoffer, and H. Grassi, Phys. Rev. E 59, R32 (1999).
[CrossRef]

Rabitz, H.

H. Rabitz, R. deVivie-Riedle, M. Motzkus, and K.-L. Kompa, Science 288, 824 (2000).
[CrossRef] [PubMed]

R. S. Judson and H. Rabitz, Phys. Rev. Lett. 68, 1500 (1992).
[CrossRef] [PubMed]

Roos, L.

L. Roos, M. B. Guarde, and A. L’Huillier, J. Phys. B 34, 5041 (2001).
[CrossRef]

Ségard, B.

B. Ségard, S. Maton, and P. Glorieux, Phys. Rev. A 66, 053819 (2002).
[CrossRef]

Seyfried, V.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, Appl. Phys. B 65, 779 (1997).
[CrossRef]

Strehle, M.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, Appl. Phys. B 65, 779 (1997).
[CrossRef]

Tucker, A. W.

A. W. Tucker, M. Birnbaum, C. L. Fincher, and J. W. Erler, J. Appl. Phys. 48, 4907 (1977).
[CrossRef]

Vdovin, G.

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

Warren, W. S.

C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997).

Weber, P. M.

C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997).

Wilson, K. R.

C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997).

Yakovlev, V. V.

C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997).

Zeek, E.

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

Appl. Phys. B (1)

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, Appl. Phys. B 65, 779 (1997).
[CrossRef]

Chem. Phys. Lett. (1)

C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997).

Eur. Phys. J. D (1)

A. Bramati, J. P. Hermier, V. Jost, E. Giacobino, L. Fulbert, E. Molva, and J. J. Aubert, Eur. Phys. J. D 6, 513 (1999).
[CrossRef]

J. Appl. Phys. (1)

A. W. Tucker, M. Birnbaum, C. L. Fincher, and J. W. Erler, J. Appl. Phys. 48, 4907 (1977).
[CrossRef]

J. Phys. B (1)

L. Roos, M. B. Guarde, and A. L’Huillier, J. Phys. B 34, 5041 (2001).
[CrossRef]

Nature (1)

R. Bartels, S. Bachus, E. Zeek, L. Misoguti, G. Vdovin, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Nature 406, 164 (2000).
[CrossRef] [PubMed]

Phys. Rev. A (1)

B. Ségard, S. Maton, and P. Glorieux, Phys. Rev. A 66, 053819 (2002).
[CrossRef]

Phys. Rev. E (1)

G. L. Lippi, P. A. Porta, L. M. Hoffer, and H. Grassi, Phys. Rev. E 59, R32 (1999).
[CrossRef]

Phys. Rev. Lett. (3)

G. L. Lippi, S. Barland, and F. Monsieur, Phys. Rev. Lett. 85, 62 (2000).
[CrossRef] [PubMed]

R. S. Judson and H. Rabitz, Phys. Rev. Lett. 68, 1500 (1992).
[CrossRef] [PubMed]

I. P. Christov, R. Bartels, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. 86, 5458 (2001).
[CrossRef] [PubMed]

Science (2)

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
[CrossRef] [PubMed]

H. Rabitz, R. deVivie-Riedle, M. Motzkus, and K.-L. Kompa, Science 288, 824 (2000).
[CrossRef] [PubMed]

Other (1)

Ya. I. Khanin, Principles of Laser Dynamics (Elsevier, Amsterdam, 1995).

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Figures (2)

Fig. 1
Fig. 1

Response of a Nd:YVO4 laser to triangular pump modulation: (a) pump drive, (b) Nd:YVO4 laser response. The superimposed triangle represents the desired pulse shape (Pi=0.92, Pf=1.48).

Fig. 2
Fig. 2

Response of a Nd:YVO4 laser to pump modulation optimized to generate a triangular pulse: (a) GA-optimized pump modulation, (b) Nd:YVO4 laser response. The superimposed triangle represents the desired pulse shape (Pi=0.92, Pf=1.48).

Tables (1)

Tables Icon

Table 1 Parametersa of the Pump Waveform to Produce Triangular Pulses

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

Pt=P0+Pf-P0t/Tup+A1 sin πt/Tup+A2 sin 2πt/Tup+Ap1-t/τ2ut-ut-τ
Pt=Pf-Pf-Pit-Tup/Tdown+A3 sin πt-Tup/Tdown

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